The generator matrix

 1  0  1  1  1  X  1  1  2  1  1  0  1  1 X+2  1  1 X+2  0  1  1  2  1  1  X  1  1  1  1  1  1  1  1  1  1  2 X+2
 0  1  1  2 X+1  1  X  3  1  0  1  1 X+2 X+3  1 X+2 X+3  1  0  2 X+1  1  X  3  1  2 X+2  0  X  2  0 X+2  X X+3  3  1  1
 0  0  X X+2  2 X+2  X  0  X  2 X+2  2  0  X  0  2 X+2  2  X  X  0 X+2 X+2  2  X  2 X+2 X+2  2  0  X  X  0  2 X+2  2 X+2

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+48x^35+32x^36+112x^37+24x^38+16x^39+5x^40+16x^41+2x^52

The gray image is a code over GF(2) with n=148, k=8 and d=70.
This code was found by Heurico 1.16 in 0.0155 seconds.